Concept
Connected sum
Related publications (15)
Voss surfaces: A design space for geodesic gridshells
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...
2021Voss Surfaces: A Design Space for Geodesic Gridshells
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...
2020Finite Element Modeling of Tight Elastic Knots
Pedro Miguel Nunes Pereira de Almeida Reis, Tomohiko Sano, Paul Johanns, Changyeob Baek, Paul Grandgeorge
We present a methodology to simulate the mechanics of knots in elastic rods using geometrically nonlinear, full three-dimensional (3D) finite element analysis. We focus on the mechanical behavior of knots in tight configurations, for which the full 3D defo ...
2020On chirality of toroidal embeddings of polyhedral graphs
We investigate properties of spatial graphs on the standard torus. It is known that nontrivial embeddings of planar graphs in the torus contain a nontrivial knot or a non-split link due to [2, 3]. Building on this and using the chirality of torus knots and ...
World Scientific Publishing2017Fundamental Group And Pluridifferentials On Compact Kahler Manifolds
A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic m ...
Independent Univ Moscow-Ium2016Waldhausen K-theory of spaces via comodules
Let X be a simplicial set. We construct a novel adjunction be- tween the categories RX of retractive spaces over X and ComodX+ of X+- comodules, then apply recent work on left-induced model category structures [5], [16] to establish the existence of a left ...
Academic Press Inc Elsevier Science2016Tuning knot abundance in semiflexible chains with crowders of different sizes: a Monte Carlo study of DNA chains
We use stochastic simulation techniques to sample the conformational space of linear semiflexible polymers in a crowded medium and study how the knotting properties depend on the crowder size and concentration. The abundance of physical knots in the chains ...
Royal Society of Chemistry2016